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807144444 = 223267334637
BaseRepresentation
bin110000000111000…
…000101111111100
32002020210012000200
4300013000233330
53123112110234
6212031523500
726000420541
oct6007005774
92066705020
10807144444
11384680627
121a6389590
13cb2b4a82
14792a8bc8
154acd8d99
hex301c0bfc

807144444 has 36 divisors (see below), whose sum is σ = 2070739944. Its totient is φ = 265031712.

The previous prime is 807144439. The next prime is 807144461. The reversal of 807144444 is 444441708.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 807144399 and 807144408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164907 + ... + 169730.

It is an arithmetic number, because the mean of its divisors is an integer number (57520554).

Almost surely, 2807144444 is an apocalyptic number.

It is an amenable number.

807144444 is an abundant number, since it is smaller than the sum of its proper divisors (1263595500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

807144444 is a wasteful number, since it uses less digits than its factorization.

807144444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334714 (or 334709 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 807144444 is about 28410.2876437392. The cubic root of 807144444 is about 931.0730451637.

It can be divided in two parts, 80714 and 4444, that added together give a palindrome (85158).

The spelling of 807144444 in words is "eight hundred seven million, one hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 334637 669274 1003911 1338548 2007822 3011733 4015644 6023466 12046932 22420679 44841358 67262037 89682716 134524074 201786111 269048148 403572222 807144444